Information about faithful condensation of block 5 for U3(4) in characteristic 3

Faithful condensation using the 27-th subgroup. The order of this subgroup is 64.
This subgroup was constructed as the subgroup generated by

<s1s2^2s1^-1s2^3, s2s1s2^-2s1s2s1, s2s1s2^2s1^-1s2^2, s2^-1s1s2^-4s1^-1, s1^-1s2^5s1,
s2^5>

inside its normalizer, the 33-th subgroup.

The corresponding permutation character is:

975 15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

The dimensions of the modular irreducibles and their condensed dimensions are:

13 52
1 1

The dimensions of the projective indecomposable modules and their condensed dimensions are:

78 117
3 3